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Cloud [144]
2 years ago
12

An integer is chosen random between 1 to 100. find the probability that it is divisible by 8​

Mathematics
2 answers:
Black_prince [1.1K]2 years ago
7 0
The probability of the event is 12/100 or 0.12

arlik [135]2 years ago
3 0

Answer: 0.12

x is the number which is chosen

The number of ways to choose x from 1 to 100 is 100 (ways)

because x  is divisible by 8​ => x ∈ {8; 16;...; 96}

=>  the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12

the number of ways to choose x which is divisible by 8​ is 12 (ways)

=>  the probability that x is divisible by 8​ is 12/100 = 0.12

Step-by-step explanation:

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Set A contains 35 elements and set B contains 22 elements. If there are 40 elements in (A ∪ B) then how many elements are in (A
Leona [35]

Answer:

17

Step-by-step explanation:

The computation of the number of elements are in (A ∩ B) is shown below;

Given that

Set A contains 35 elements

And, set B contains 22 elements

Now if there are 40 elements in (A ∪ B)

So, the number of elements are in (A ∩ B) is

= 35 + 22 - 40

= 17

5 0
2 years ago
What is the area of the parallelogram shown?<br>1.5 cm<br>10 cm<br>3 cm​
inysia [295]

Answer:

I am pretty sure it is 15.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mr. Littles is building a triangular sandbox using three boards. He already has two boards that measure 9 feet and 12 feet. Sele
Bess [88]

Answer:

  • 9 feet, 15 feet, 19 feet

Step-by-step explanation:

<u><em> Options are: </em></u>

  • <em>2 feet </em>
  • <em>3 feet </em>
  • <em>9 feet </em>
  • <em>15 feet </em>
  • <em>19 feet </em>
  • <em>21 feet </em>
  • <em>30 feet</em>

<em>-------------------------------------</em>

Use the triangle inequality theorem: sum of any two side must be greater than the third side by length

  • 2 feet     ⇒  no, as 2 + 9 < 12
  • 3 feet     ⇒  no, as 3 + 9 = 12
  • 9 feet     ⇒  yes
  • 15 feet    ⇒  yes
  • 19 feet    ⇒  yes
  • 21 feet    ⇒  no, as 9 + 12 = 21
  • 30 feet  ⇒  no, as 9 + 12 < 30

6 0
2 years ago
3. Dan's credit card was lost on a vacation. He immediately reported it missing. The person who found it days later used it, and
Olenka [21]

The question is an illustration of the Truth in Lending Act, and Dan is responsible for paying $0

<h3>Truth in Lending Act</h3>

The Truth in Lending Act is simply an act that protects people from unfair charges on their credit cards, especially in case of theft and card misplacement.

<h3>The scenarios</h3>

From the question, we have the following scenarios

  • His card got lost
  • He reported
  • Someone else saw the card and purchased goods worth over $200

Because Dan reported when his card got lost, he is protected by the Truth in Lending Act (TILA).

Hence, Dan is responsible for paying $0

Read more about the Truth in Lending Act at

brainly.com/question/1979208

4 0
2 years ago
Simplify the expression below. Then classify the resulting expression
evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

 3x² + 6x + 5 - 3x (2 + x)

<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= \boxed{5}

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

  • Monomial: a polynomial with only one term
  • Binomial: a polynomial with two terms
  • ...

<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

Please let me know if you have any questions

3 0
1 year ago
Read 2 more answers
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